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Ordered sum and tensor product of linear utility structures

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Abstract

Measurement-theoretic behavior of the category of social utility models is studied in terms of ordered sums and tensor products of mixture spaces. Necessary and sufficient conditions are given for the existence of individual utility functions and a social utility function (being a weighted average, and in another case a product, of the individual utilities) in terms of individual and social preference rankings.

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Authors and Affiliations

  1. University of Pennsylvania, Florida, USA

    Zoltan Domotor

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  1. Zoltan Domotor
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Additional information

Part of the research presented here was supported by the NSF Grant GS-2936.

I am deeply indebted to Richard C. Jeffrey for his stimulation and advice, and to Duncan Luce for many valuable discussions on related topics of measurement theory.

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Domotor, Z. Ordered sum and tensor product of linear utility structures. Theor Decis 11, 375–399 (1979). https://doi.org/10.1007/BF00139449

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